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Finding the Third Proportional to 29,517 and 63,951

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Solution

The third proportional to 29,517 and 63,951 is: 138,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,517 : 63,951 = 63,951 : x
  2. Step 2: Convert to fraction form
    29,517/63,951 = 63,951/x
  3. Step 3: Cross multiply
    29,517x = 63,951 × 63,951
  4. Step 4: Simplify right side
    29,517x = 4,089,730,401
  5. Step 5: Solve for x
    x = 4,089,730,401/29,517
  6. Step 6: Final answer
    x = 138,555.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.